The problems of steady, inviscid, isentropic, irrotational supersonic plane flow passing a body with small thickness ratio was solved by the linearized theory, which is first approximation at and near surface but fails far fields from body. Such problem W.D. Hayes’ “pseudo-transonic” nonlinear theory in 1954. This field disturbance reexamined this study using asymptotic expansion theory. A syst...

where a is the speed of sound, p is the density, _ is the potential, and the subscripts denote partial deriva-The nonuniqueness problem occurring at transonic tives. In the absence of shock waves, both forms of the speeds with the conservative potential equation is in-equation are equivalent. When shock waves are present, vestigated numerically. Evidence is given supporting use of the conservat...

Transonic aerodynamics is the focus of strong interest at the present time because it is known to encompass one of the most efficient regimes of flight. While current transport aircraft operate just below the speed of sound, more radical aerodynamic designs, such as R. T. Jones’ proposal for a yawed wing in [1], favor operation at low supersonic speeds in the range from Mach 1 to 1.3 (a regime ...